Atkin-Lehner |
2+ 3+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36408a |
Isogeny class |
Conductor |
36408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5158867968 = 210 · 34 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-912,10332] |
[a1,a2,a3,a4,a6] |
j |
82013318212/5037957 |
j-invariant |
L |
2.6785944054024 |
L(r)(E,1)/r! |
Ω |
1.3392972027061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72816b2 109224f2 |
Quadratic twists by: -4 -3 |